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Finding the Third Proportional to 24,631 and 52,765

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Solution

The third proportional to 24,631 and 52,765 is: 113,034.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,631 : 52,765 = 52,765 : x
  2. Step 2: Convert to fraction form
    24,631/52,765 = 52,765/x
  3. Step 3: Cross multiply
    24,631x = 52,765 × 52,765
  4. Step 4: Simplify right side
    24,631x = 2,784,145,225
  5. Step 5: Solve for x
    x = 2,784,145,225/24,631
  6. Step 6: Final answer
    x = 113,034.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.